What is the inverse of f(x)=(-5+5x)/(2-3x) ?

The inverse of f(x)=(-5+5x)/(2-3x) is -(-5-2x)/(5+3x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=(-5+5x)/(2-3x)

inverse

f (x) = \frac{- 5 + 5 x}{2 - 3 x}

- \frac{- 5 - 2 x}{5 + 3 x}

Solution steps

y = \frac{- 5 + 5 x}{2 - 3 x}

Replace

x

with

y

x = \frac{- 5 + 5 y}{2 - 3 y}

Solve for

y, x = \frac{- 5 + 5 y}{2 - 3 y}

- \frac{- 5 - 2 x}{5 + 3 x}

What is the inverse of f(x)=(-5+5x)/(2-3x) ?
The inverse of f(x)=(-5+5x)/(2-3x) is -(-5-2x)/(5+3x)